20.500.12556/RUP-7157
Construction of G[sup]3 rational motion of degree eight
The paper presents a construction of a rigid body motion with point trajectories being rational spline curves of degree eight joining together with ▫$G^3$▫ smoothness. The motion is determined through interpolation of positions and derivative data up to order three in the geometric sense. Nonlinearity in the spherical part of construction results in a single univariate quartic equation which yields solutions in a closed form. Sufficient conditions on the regions for the curvature data are derived, implying the existence of a real admissible solution. The algorithm how to choose appropriate data is proposed too. The theoretical results are substantiated with numerical examples.
motion design
geometric interpolation
rational spline motion
geometric continuity
konstrukcija gibanj togih teles
racionalna gibanja
geometrijska interpolacija
geometrijska zveznost
true
true
false
Angleški jezik
Angleški jezik
Delo ni kategorizirano
2015-10-15 05:57:54
2015-10-15 05:57:54
2024-03-01 12:51:30
0000-00-00 00:00:00
2015
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0
str. 1-12
Vol.
2015
0000-00-00
NiDoloceno
NiDoloceno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
0096-3003
519.651
24983808
10.1016/j.amc.2015.08.073
1537829572
http://www.sciencedirect.com/science/article/pii/S0096300315011297
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https://repozitorij.upr.si/Dokument.php?lang=slv&id=7157
Inštitut Andrej Marušič
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